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Finding the Third Proportional to 508,472 and 689,788.50

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Solution

The third proportional to 508,472 and 689,788.50 is: 935,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,472 : 689,788.50 = 689,788.50 : x
  2. Step 2: Convert to fraction form
    508,472/689,788.50 = 689,788.50/x
  3. Step 3: Cross multiply
    508,472x = 689,788.50 × 689,788.50
  4. Step 4: Simplify right side
    508,472x = 475,808,174,732.25
  5. Step 5: Solve for x
    x = 475,808,174,732.25/508,472
  6. Step 6: Final answer
    x = 935,760.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.